1.Arduino Uno R3 Connected with Arduino Gsm Shield and powered from the 12V given from 10x 1.2V batteries2.Led strip (12V 3W) connected to the same 12V from the batteries3.1W Speaker connected to the Gsm shield speaker pins(holes)

with this scenario:

* The arduino UNO+Gsm Shield will be always ON and voice_calls will be made with the GSM shield for 15 minutes a day.

*The 3w led strip will be ON for 12 hours a day*The 1W speaker will be used when making voice calls (15 minutes a day)

As i have read here and there with these 10x batteries i will have 12V 30Ah Total battery power right?The Arduino UNO+GSM shield in "READY" mode will eat not more than 500ma current right?And also when speaking the GSM shield will eat up to 2A current.

So are these calculations correct:10x1.2V 3000mah=12V 30Ah Battery life

TOTAL:16.625Ah Battery life per day , so these 10x batteries will last about 43 Hours (about 2 days)Please can anyone tell me if thats the correct way for calculations and also if yes, what solar panel can i use to charge these batteries at the same time when using them so the system will never shut down?